Answer :
If a histogram of a set of data is roughly symmetric, but the data do not even approximately follow the 68-95-99.7 rule, it is likely that the data are not Normal. Correct option is A.
The 68-95-99.7 rule is a rule of thumb used to estimate the percentage of data that falls within one, two, and three standard deviations of the mean in a Normal distribution. If a histogram of a set of data is roughly symmetric, but the data do not even approximately follow the 68-95-99.7 rule, we can conclude that the data are not Normal.
The Normal distribution is a continuous probability distribution that is symmetric and bell-shaped, with the majority of the data clustered around the mean.
However, there are many other types of distributions that can produce a roughly symmetric histogram, such as the uniform distribution, the exponential distribution, and the bimodal distribution. These distributions have different shapes and properties than the Normal distribution, and their histograms may not follow the 68-95-99.7 rule.
This implies that the data do not have the same properties as the Normal distribution, and we need to use different statistical methods to analyze them. Therefore, correct option is A.
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